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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 805 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the average of 59, 75, 82, 70 and 74? (a) 71 (b) 72 (c) 73 (d) 90
  2. 2.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 48 (b) 42 (c) 36 (d) 72
  3. 3.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 39 (c) 59 (d) 30
  4. 4.What is the average of all the whole numbers from 13 to 53? (a) 33 (b) 40 (c) 20 (d) 34
  5. 5.What is the average of 53, 45, 50, 45 and 12? (a) 43 (b) 40 (c) 41 (d) 42
  6. 6.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 13 (b) 33 (c) 16 (d) 14
  7. 7.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 43 (c) 56 (d) 85
  8. 8.What is the average of 32, 30, 17 and 45? (a) 32 (b) 30 (c) 33 (d) 31
  9. 9.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 40 (b) 94 (c) 62 (d) 58
  10. 10.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 59 (b) 56 (c) 68 (d) 15
  11. 11.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 30 (b) 24 (c) 43 (d) 49
  12. 12.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 101 (b) 45 (c) 50 (d) 46
  13. 13.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 38 (b) 29 (c) 12 (d) 55
  14. 14.What is the average of 49, 60, 48, 71, 59 and 79? (a) 62 (b) 61 (c) 60 (d) 63
  15. 15.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 14 (b) 34 (c) 73 (d) 15
  16. 16.What is the average of all the whole numbers from 7 to 31? (a) 19 (b) 24 (c) 20 (d) 12
  17. 17.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 26 (b) 6 (c) 41 (d) 21
  18. 18.What is the average of all the whole numbers from 32 to 54? (a) 43 (b) 11 (c) 22 (d) 44
  19. 19.What is the average of all the whole numbers from 10 to 44? (a) 28 (b) 27 (c) 17 (d) 34
  20. 20.What is the average of 54, 49, 42 and 15? (a) 40 (b) 39 (c) 41 (d) 42
  21. 21.What is the average of 37, 43, 28 and 8? (a) 31 (b) 30 (c) 28 (d) 29
  22. 22.What is the average of all the whole numbers from 33 to 55? (a) 45 (b) 22 (c) 44 (d) 11
  23. 23.What is the average of 37, 34, 53, 60 and 46? (a) 48 (b) 46 (c) 47 (d) 45
  24. 24.What is the average of 35, 46, 29 and 46? (a) 39 (b) 38 (c) 40 (d) 52
  25. 25.What is the average of 33, 26, 49, 45 and 17? (a) 33 (b) 35 (c) 34 (d) 36
  26. 26.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 35 (b) 55 (c) 27 (d) 34
  27. 27.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 12 (b) 22 (c) 14 (d) 24
  28. 28.What is the average of 50, 21, 35 and 34? (a) 36 (b) 34 (c) 37 (d) 35
  29. 29.What is the average of 37, 25, 34, 24, 50 and 52? (a) 36 (b) 37 (c) 39 (d) 38
  30. 30.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 97 (b) 41 (c) 42 (d) 48
  31. 31.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 60 (b) 58 (c) 16 (d) 72
  32. 32.What is the average of 37, 49, 45 and 61? (a) 64 (b) 48 (c) 47 (d) 49
  33. 33.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 61 (b) 18 (c) 73 (d) 58
  34. 34.What is the average of 52, 44, 50, 57, 62 and 89? (a) 60 (b) 58 (c) 59 (d) 61
  35. 35.What is the average of 37, 38, 42, 64 and 74? (a) 50 (b) 53 (c) 52 (d) 51
  36. 36.What is the average of 47, 57, 74, 54, 60 and 74? (a) 60 (b) 61 (c) 62 (d) 63
  37. 37.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 46 (b) 27 (c) 67 (d) 43
  38. 38.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 76 (b) 44 (c) 40 (d) 52
  39. 39.What is the average of 61, 50, 66, 66, 65 and 16? (a) 55 (b) 53 (c) 56 (d) 54
  40. 40.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 16 (b) 10 (c) 32 (d) 38

Answer key

  1. 72
  2. 72
  3. 59
  4. 33
  5. 41
  6. 13
  7. 85
  8. 31
  9. 94
  10. 68
  11. 49
  12. 45
  13. 38
  14. 61
  15. 14
  16. 19
  17. 26
  18. 43
  19. 27
  20. 40
  21. 29
  22. 44
  23. 46
  24. 39
  25. 34
  26. 55
  27. 24
  28. 35
  29. 37
  30. 41
  31. 72
  32. 48
  33. 73
  34. 59
  35. 51
  36. 61
  37. 67
  38. 76
  39. 54
  40. 38

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